Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (anonymous):

I have a Geometry question if anybody can help!! :) thnx!!!

OpenStudy (shubhamsrg):

welcome!!!

OpenStudy (anonymous):

In triangle DEF, what is the length of DF?

OpenStudy (anonymous):

here is the question.....i am not really sure how to do it??

terenzreignz (terenzreignz):

Well, for starters, DF is the hypotenuse of this right triangle, right? :)

OpenStudy (anonymous):

yes!!

terenzreignz (terenzreignz):

Yes... let's redraw this figure, but only including the relevant stuff... |dw:1362665968423:dw| Now, with respect to the sixty degree angle, what is the side measuring 45?

OpenStudy (anonymous):

I am not really sure I would think the other angle down below would be 30 degrees if there was one?? I would guess it would be 30 square root of three??

terenzreignz (terenzreignz):

Hang on :) Is this side... |dw:1362666135050:dw| Opposite to the 60 degree angle? Is it adjacent to it?

terenzreignz (terenzreignz):

Oh wait, it seems like you already got the answer down...

OpenStudy (anonymous):

wait what??

terenzreignz (terenzreignz):

Okay, forget what I said. Do you use sines and cosines already? :D

OpenStudy (anonymous):

yes I did but can you give me the math part of the equation like how to do it?? I mean I think I know how to do it but I need someone to just write out how they did the equation! if that makes any since??

terenzreignz (terenzreignz):

Okay, you want to use sines and cosines, or just the properties of the so-called 30-60-90 triangles?

OpenStudy (anonymous):

YES!!!

terenzreignz (terenzreignz):

Yes, what? I gave you a choice :P

OpenStudy (anonymous):

oo sorry I only looked at the last one which is 30-60-90 traingles that is what i wanted

terenzreignz (terenzreignz):

LOL OK :) so... suppose we have a 30-60-90 triangle |dw:1362666525444:dw|

OpenStudy (anonymous):

okay :)

terenzreignz (terenzreignz):

Now, if one side measures...|dw:1362666670884:dw| This is the side opposite the 30-degree angle, right?

OpenStudy (anonymous):

yes!

terenzreignz (terenzreignz):

Well, in this case..., the angle opposite the 60-degree angle would measure... |dw:1362666746027:dw| And the hypotenuse would measure

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!